In [1]} the subleading soft gluon theorem played an essential role in determining the gluon OPE coefficients, while the subsubleading soft graviton theorem played the analogous role for graviton OPE coefficients. Upon including minimal coupling between gluons and gravitons, the subleading soft gluon theorem receives corrections [2]}, [3]} that were critical for an appropriate generalization of the previous gluon OPE analysis. Our work shows that the tree-level coefficients of all gluon and graviton OPEs are fixed up to the 4D coupling constant by Poincaré symmetry alone, which is simply uncorrected and universal. A similar Poincaré-based analysis for gluons in Yang-Mills theory was presented in [4]}.
